printer friendly pageMATH 109: Applied Group Theory
Applications of the theory of groups. Topics: elements of group theory, groups of symmetries, matrix groups, group actions, and applications to combinatorics and computing. Applications: rotational symmetry groups, the study of the Platonic solids, crystallographic groups and their applications in chemistry and physics. Honors math majors and students who intend to do graduate work in mathematics should take 120. WIM.
Terms: Win
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Marberg, E. (PI)
;
Skryzalin, J. (TA)
MATH 110: Applied Number Theory and Field Theory
Number theory and its applications to modern cryptography. Topics: congruences, finite fields, primality testing and factorization, public key cryptography, error correcting codes, and elliptic curves, emphasizing algorithms. WIM.
Terms: Aut
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Entin, A. (PI)
;
Lim, B. (TA)
MATH 113: Linear Algebra and Matrix Theory
Algebraic properties of matrices and their interpretation in geometric terms. The relationship between the algebraic and geometric points of view and matters fundamental to the study and solution of linear equations. Topics: linear equations, vector spaces, linear dependence, bases and coordinate systems; linear transformations and matrices; similarity; eigenvectors and eigenvalues; diagonalization. (
Math 104 offers a more application-oriented treatment.)
Terms: Aut, Win, Spr
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
Instructors:
Chatterjee, S. (PI)
;
Church, T. (PI)
;
Kerckhoff, S. (PI)
...
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Instructors:
Chatterjee, S. (PI)
;
Church, T. (PI)
;
Kerckhoff, S. (PI)
;
Helfer, J. (TA)
;
Sun, Q. (TA)
;
Wang, G. (TA)
MATH 114: Introduction to Scientific Computing (CME 108)
Introduction to Scientific Computing Numerical computation for mathematical, computational, physical sciences and engineering: error analysis, floating-point arithmetic, nonlinear equations, numerical solution of systems of algebraic equations, banded matrices, least squares, unconstrained optimization, polynomial interpolation, numerical differentiation and integration, numerical solution of ordinary differential equations, truncation error, numerical stability for time dependent problems and stiffness. Implementation of numerical methods in MATLAB programming assignments. Prerequisites:
MATH 51, 52, 53; prior programming experience (MATLAB or other language at level of
CS 106A or higher).nGraduate students should take it for 3 units and undergraduate students should take it for 4 units.
Terms: Win, Sum
| Units: 3-4
| UG Reqs: GER:DB-EngrAppSci, WAY-AQR, WAY-FR
Instructors:
Dunham, E. (PI)
;
Orozco Bohorquez, C. (PI)
;
Allison, K. (TA)
...
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Instructors:
Dunham, E. (PI)
;
Orozco Bohorquez, C. (PI)
;
Allison, K. (TA)
;
Martin, E. (TA)
;
Skochdopole, N. (TA)
MATH 120: Groups and Rings
Recommended for Mathematics majors and required of honors Mathematics majors. Similar to 109 but altered content and more theoretical orientation. Groups acting on sets, examples of finite groups, Sylow theorems, solvable and simple groups. Fields, rings, and ideals; polynomial rings over a field; PID and non-PID. Unique factorization domains. WIM.
Terms: Aut, Spr
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
MATH 171: Fundamental Concepts of Analysis
Recommended for Mathematics majors and required of honors Mathematics majors. Similar to 115 but altered content and more theoretical orientation. Properties of Riemann integrals, continuous functions and convergence in metric spaces; compact metric spaces, basic point set topology. Prerequisite: 51H or 115 or consent of the instructor. WIM
Terms: Aut, Spr
| Units: 3
| UG Reqs: GER:DB-Math, WAY-FR
MS&E 20: Discrete Probability Concepts And Models
Concepts and tools for the analysis of problems under uncertainty, focusing on structuring, model building, and analysis. Examples from legal, social, medical, and physical problems. Topics include axioms of probability, probability trees, belief networks, random variables, conditioning, and expectation.
Terms: Sum
| Units: 4
| UG Reqs: WAY-FR
Instructors:
Shachter, R. (PI)
MS&E 120: Probabilistic Analysis
Concepts and tools for the analysis of problems under uncertainty, focusing on focusing on structuring, model building, and analysis. Examples from legal, social, medical, and physical problems. Topics include axioms of probability, probability trees, random variables, distributions, conditioning, expectation, change of variables, and limit theorems. Prerequisite:
CME 100 or
MATH 51.
Terms: Aut
| Units: 5
| UG Reqs: GER:DB-EngrAppSci, WAY-AQR, WAY-FR
MS&E 152: Introduction to Decision Analysis (MS&E 152W)
How to make good decisions in a complex, dynamic, and uncertain world. People often make decisions that on close examination they regard as wrong. Decision analysis uses a structured conversation based on actional thought to obtain clarity of action in a wide variety of domains. Topics: distinctions, possibilities and probabilities, relevance, value of information and experimentation, relevance and decision diagrams, risk attitude. Students seeking to fulfill the Writing in the Major requirement should register for MS&E 152W.
Terms: Spr
| Units: 3-4
| UG Reqs: WAY-AQR, GER:DB-EngrAppSci, WAY-FR
MS&E 152W: Introduction to Decision Analysis (MS&E 152)
How to make good decisions in a complex, dynamic, and uncertain world. People often make decisions that on close examination they regard as wrong. Decision analysis uses a structured conversation based on actional thought to obtain clarity of action in a wide variety of domains. Topics: distinctions, possibilities and probabilities, relevance, value of information and experimentation, relevance and decision diagrams, risk attitude. Students seeking to fulfill the Writing in the Major requirement should register for MS&E 152W.
Terms: Spr
| Units: 3-4
| UG Reqs: WAY-AQR, GER:DB-EngrAppSci, WAY-FR
Instructors:
Shachter, R. (PI)
;
Chen, X. (TA)
;
Guven, O. (TA)
...
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